Article contents
ASYMPTOTICALLY LINEAR ELLIPTIC SYSTEMS WITH PARAMETERS
Published online by Cambridge University Press: 29 March 2010
Abstract
In this paper, we show that the semi-linear elliptic systems of the form
(0.1)
possess at least one non-trivial solution pair (u, v) ∈ H01(Ω) × H01(Ω), where Ω is a smooth bounded domain in ℝN, λ and μ are non-negative numbers, f(x, t) and g(x, t) are continuous functions on Ω × ℝ and asymptotically linear at infinity.
Keywords
- Type
- Research Article
- Information
- Copyright
- Copyright © Glasgow Mathematical Journal Trust 2010
References
REFERENCES
- 5
- Cited by